Question

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Answer 1

x+y = 1

x = 3, y = -2

Explanation:

Given the expressions

x-y = 5

x²-y² = 5

From 2:

x²-y² = 5

(x+y)(x-y) = 5 .... 3

Substitute equation 1 into 3;

(x+y)(5) = 5

Divide both sides by 5

x+y = 5/5

x+y = 1

b) To deduce x and y, we will solve the equation below simultaneously

x-y = 5

x+y = 1

Add both equations

x+x = 5+1

2x = 6

x = 6/2

x= 3

Substitute x = 3 into equation 1

Recall from 1:

x-y = 5

3-y = 5

y = 3-5

y = -2

Hence x = 3, y =-2